%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM617+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:17:35 AM UTC 2026
% Result : Theorem 32.11s 5.21s
% Output : CNFRefutation 32.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 15 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 1 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5106,axiom,
( aSubsetOf0(xQ,szNzAzT0)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) ) ),
file('theBenchmark.p',m__5106) ).
fof(m__5348,axiom,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('theBenchmark.p',m__5348) ).
fof(m__,conjecture,
aElementOf0(xx,szNzAzT0),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_1191,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(clausify,[status(thm)],[m___neg]) ).
cnf(c_1194,plain,
aElementOf0(xx,xQ),
inference(clausify,[status(thm)],[m__5348]) ).
cnf(c_1223,plain,
( aElementOf0(A,szNzAzT0)
| ~ aElementOf0(A,xQ) ),
inference(clausify,[status(thm)],[m__5106]) ).
cnf(c_8001,plain,
aElementOf0(xx,szNzAzT0),
inference(resolve,[status(thm)],[c_1223,c_1194]) ).
cnf(c_8000,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1191,c_8001]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM617+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 03:28:17 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36 % Process 2384073 was started by sandbox on n010,
% 0.12/0.36 % Sat Sep 26 03:28:17 2026
% 0.12/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.31/0.61
% 0.31/0.61 % From the command line: assign(max_seconds, 300).
% 32.11/5.21
% 32.11/5.21 % given #500 (I,wt=15): 1208 sdtlpdtrp0(xe,c2) = xp # tptp_name(m__5182). [clausify(99)].
% 32.11/5.21
% 32.11/5.21 % SZS status Theorem for theBenchmark
% 32.11/5.21
% 32.11/5.21 % Proof 1 at 4.35 (+ 0.18) seconds.
% 32.11/5.21 % Length of proof is 7.
% 32.11/5.21 % Level of proof is 2.
% 32.11/5.21 % Maximum clause weight is 11.000.
% 32.11/5.21 % Given clauses 511.
% 32.11/5.21
% 32.11/5.21 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------